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Let f (x) = [{:(1-x,,, 0 le x le 1),(0,,...

Let `f (x) = [{:(1-x,,, 0 le x le 1),(0,,, 1 lt x le 2 and g (x) = int_(0)^(x) f (t)dt.),( (2-x)^(2),,, 2 lt x le 3):}`
Let the tangent to the curve `y = g( x)` at point P whose abscissa is `5/2` cuts x-axis in point Q.
Let the prependicular from point Q on x-axis meets the curve `y =g (x)` in point R .Find equation of tangent at to y=g(x) at P .Also the value of
`g (1) =`

A

`3y = 12x -1`

B

` 3y =12x -1`

C

` 12 y=3x-1`

D

`12 y=3x +1`

Text Solution

Verified by Experts

The correct Answer is:
C
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